So h is 3x
b is x
3x plus x equal 972
4x = 972
243 is base
243 times 3 is 729
Just divide 28 by 4 and get 7. It`s obvious
Let the hypotenuse be x then,
Using the pythagoras theorm,
10^2 + 24^2 = x^2 (alt^2 + base^2 = hypo^2)
100 + 576 = x^2
676 = x^2
Therefore x= square root of 676 = 26
Hope this helped! :D
Step-by-step explanation:
Step 1:
(3x + 12y) + (10x - 5y)
<em>{Distributive property A(B+C)=AB+AC}</em>
-------------------
Step 2:
(3x + 12y) + (-5y + 10x)
<em>{Commutative property A+B = B+A}</em>
-------------------
Step 3:
3x + (12y - 5y) + 10x
<em>{Associative property A+(B+C)=(A+B)+C}</em>
-------------------
Step 4:
3x + 10x + (12y - 5y)
<em>{Commutative property A+B = B+A}</em>
-------------------
Step 5:
13x + 7y
<em>{Simplification}</em>
-------------------